Answer:
x - a
Step-by-step explanation:
The mean is calculated as
mean= [tex]\frac{sum}{count}[/tex]
= [tex]\frac{x-3a+x-2a+x-a+x+x+a}{5}[/tex]
= [tex]\frac{5x-5a}{5}[/tex]
= [tex]\frac{5(x-a)}{5}[/tex]
= x - a
which exponential equation is equivalent to this logarithmic equation?
Answer:
the answer is A
Step-by-step explanation:
[tex] log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60[/tex]
How many meters are in 9 kilometers? 90,000 meters 9,000 meters 900 meters 90 meters
Answer:
9000 metres
Step-by-step explanation:
a kilometer has 1000 metres
so 9 kilometers has 9*1000 = 9000 metres
Answer:
Step-by-step explanation:
1 km=1000m
9 km=1000*9m
=9000 m
There are 88 marbles in a bin and 50 percent of the marbles are red how many red marbles are in the bin ?
Answer:
44
Step-by-step explanation:
50% is half of the whole
88/2=44
Answer:
44
Step-by-step explanation:
88/2
G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.
Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
G = 44.44
Step-by-step explanation:
Given the mathematical expression and data;
[tex] G = \frac {1}{H^{2}} [/tex]
H = 4 and G = 0.25
First of all, we would determine the constant of proportionality, k.
[tex] G = \frac {k}{H^{2}} [/tex]
Making k the subject of formula, we have;
k = GH²
Substituting the values, we have;
k = 0.25 * 4²
k = 0.25 * 16
k = 4
Next, we find the value of G when H = 0.3;
[tex] G = \frac {k}{H^{2}} [/tex]
[tex] G = \frac {4}{0.3^{2}} [/tex]
[tex] G = \frac {4}{0.09} [/tex]
G = 44.44
Divide a line which is 20m long in the ratio 3:7
Answer: 6:14
Step-by-step explanation:
3 + 7 = 10x
10x of 20 = 20/10
10x of 20 = 2
3*2:7*2 = 6:14
Answer:
6:14
Step-by-step explanation:
3+7= 10... Double the numbers. The line should be drawn so that 6 is on one side and 14 are on the other.
Write an explicit formula for an, the nth term of sequence 2,4,8
Answer:
2^n will be your explicit formula for this sequence.
Step-by-step explanation:
By analyzing the sequence;
2=2^1
4=2^2
8=2^3
and so on
We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.
There is 1/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread will each child get?
The fraction of the whole pan of cornbread each child will get is 1/12.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 1/3 of a pan of cornbread shared among 4 children.
Here, cornbread share of each child = Total quantity of bread/Number of children
= 1/3 ÷ 4
= 1/3 × 1/4
= 1/12
Therefore, the fraction of the whole pan of cornbread each child will get is 1/12.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Graph the system of equations. { -x +2y = -8, 2x + y =6. Will Mark Brainliest. Need ASAP
Answer:
Graph the -x+2y=-8 as y=1/2x-4
and 2x+4=6 as y=-2x+6
Step-by-step explanation:
hope you understand how to graph y=mx+b equations.
Marco made 2 errors in solving the following inequality. Identify the mistakes and correctly solve.
-18 - 4y > 20
-4y > 2
y > -1/2
Answer:
Step-by-step explanation:
When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)
When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)
Correct:
[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]
A store manager is marking down easels from $40 to $28. What is the discount, as a
percentage?
Write your answer using a percent sign (%).
Answer:
30% discount
that's a big discount!
Answer:
30%
Step-by-step explanation:
I appreciate if someone help me with this. is due today. Thanks
Answer:
Step-by-step explanation:
take 23 degree as reference angle
using tan rule
tan 23=opposite/adjacent
0.42=x/3.2
3.2*0.42=x
1.34=x
1.3=x
Answer:
x equals to about 1.36
Step-by-step explanation:
Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA
Now lets see what we are given. For the reference angle we are given 23.
We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.
Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.
Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.
An image is also added.
Hope it helps.
Which statement is true?
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.
C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.
D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.
Answer:
The correct answer is A I believe . . .
Answer:
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
Step-by-step explanation:
Rectangles are parallelograms since they have 2 pairs of parallel sides. All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.
At a pottery shop, there are 7 vases for every 3 planters.
Which of the following shows the ratio of planters to vases at the shop?
Answer:
3:7
Step-by-step explanation:
a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7
Find the trigonometric ratio for cos B may need to use Pythagorean theorem
Answer:
The answer is cos B = 2/3
I hope it will help you :)
In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.
Answer:
552
Step-by-step explanation:
Area of a Triangle→S.A.S.
Area=1/2 ab sin C
area = 1/2 (64)(83) sin 168
area=552.213=552
If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.
The length of two sides and an angle is given.
So we can use SAS postulate
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
Area of a Triangle
Area=1/2 absin C
area = 1/2 (64)(83) sin 168
area =2656 sin 168
area=552.213=552
Hence area of ΔNOP, to the nearest square inch is 552 square inch
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
James Burke states that there is a 72% chance a polygraph test (lie detector test) will catch a person who is, in fact, lying. Furthermore, there is approximately a 7% chance that the polygraph will falsely accuse someone of lying.
Required:
a. Suppose a person answers 87% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies?
b. Suppose a person answers 13% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies?
Answer:
a) 6.09 %
b) 9.36 %
Step-by-step explanation:
a) Given
% of questions that are truthful = 87% = -.87
% of right questions that are falsely indicated as lies = 7%
Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%
b) % of answers that are lies = 13% = 0.13
% of answers that are correctly caught as lies = 72%
percentage of the answers that the polygraph will correctly indicate as lies
= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %
Solve for x, where x is a real number.
√x-5=6
How many solutions are there
Answer:
x=121
Step-by-step explanation:
1. Move the constant to the right-hand side and change its sign
square rootx = 6+5
2. Add the numbers
square rootx= 11
3. Square both sides of the equation
x=121
Check if the given value is the solution of the equation
square root 121 -5 =6
Simplify the expression
6=6
The equality is true, therefore x=121 is a solution of the equation
Plz help me. I need to ace this. Thxx
Answer:
Their intersection point is the only point where the same input into both functions yields the same output.
Step-by-step explanation:
In this case, x = 0 and y = 5.
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
Learn more about function here:
https://brainly.com/question/11624077
#SPJ8
Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x
Step-by-step explanation:
tan 0 = y/x (as a drawing attached)
The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.
Therefore, the answer is option C) y/x.
Learn more about Circle here:
brainly.com/question/11833983
#SPJ3
The volume of a cylinder is 72 pie cm3. If the radius is 3cm, what is the height of the cylinder?
Answer:
A
Step-by-step explanation:
maybe
Answer:
Step-by-step explanation:
2.55cm
What is the length of the base edge labeled x?
Answer:
It is six cm。
Step-by-step explanation:
Shaquana went shopping for a new pair of sneakers because of a sale. The store was offering a 50% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
.50
Step-by-step explanation:
50% is .50. The price of the item is .50 (100%-50% discount).
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 300 recent visits. Here are the results:
Feeder 1 2 3 4
Observed visits 60 90 92 58
A test is performed to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the xa test statistic?
a. 13.71
b. 0
c. 14.37
d. 3
e. 1028
Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits; [tex]o_i[/tex] 60 90 92 58
data sample = 300
Expected [tex]e_i[/tex] = 300 / 4 = 75
the x² test statistic = ?
[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]
[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=1/5x+4/5
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}
Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
an integer is 8 less than 5 times another product is 85. find the integers
Answer:
x=5, x=-17/5
Step-by-step explanation:
x=integer
5x-8= ...is eight less than five times another product
=85
So our equation is x·(5x-8)=85
Steps:
distribute x
5x^2-8x=85
Subtract 85 to create a quadratic equation
5x^2-8x-85=0
Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-
Hope I helped, have a nice day :)
a school held a tennis tournament. after each round one fourth of the players were eliminated. if there were 64 players at the start of the tournament, which equation models the number of players left after 6 rounds
Answer:
If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.
Step-by-step explanation:
you would do 64/1 • 1/4 to get 16 so every round 16 people would leave.
what is the ratio of 54:27 it the simplest form
Answer:
21
Step-by-step explanation:
Answer:
2 : 1
Step-by-step explanation:
54:27
Divide each side by 27
54/27:27/27
2 : 1
List the coefficients in the row of Pascal's triangle corresponding to n = 7.
9514 1404 393
Answer:
1 7 21 35 35 21 7 1
Step-by-step explanation:
Numbering from k=0 to k=7, the k-th coefficient in the row is ...
C(7, k) = 7!/(k!(7-k)!)
You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...
C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21
C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35
So, row 7 is ...
1, 7, 21, 35, 35, 21, 7, 1